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kondaur [170]
4 years ago
10

Write an equation in point-slope form and in slope-intercept form.

Mathematics
1 answer:
SpyIntel [72]4 years ago
8 0

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, -5) and (-3, 7). Substitute:

m=\dfrac{7-(-5)}{-3-1}=\dfrac{12}{-4}=-3\\\\y-(-5)=-3(x-1)\\\\\boxed{y+5=-3(x-1)}

The slope-intercept form:

y=mx+b

y+5=-3(x-1)           <em>use distributive property</em>

y+5=-3x+3             <em>subtract 5 from both sides</em>

\boxed{y=-3x-2}

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HELP ASAP!!
garri49 [273]
I'm pretty sure it would be <span>x - y + 1 = 0 because if you plug in one of the coordinates into each equation, this is the only one that works.

</span><span>y - x + 1 = 0
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2 = 0 not correct

</span><span>x - y + 1 = 0
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4 0
4 years ago
What is the rational number equivalent to <br> __<br> 3.24?
guajiro [1.7K]

Answer:

\frac{324}{100}

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is 3\frac{24}{100}

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

5 0
3 years ago
a company pays 75% of each employee's Medical Care premium if the employee portion is $50 for a month and there are 100 employee
Romashka-Z-Leto [24]
Hope this helps
THE COMPANY PAY EACH MONTH FOR EMPLOYEE MEDICAL BENEFITS? can u ... $200 - $50 = $150 paid by company per employee ... For each employee the company pays 75%

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soldi70 [24.7K]
Only 1 and 51 are factors of 51. 
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Margaret [11]

Answer:

4x =16

Step-by-step explanation:

Hope this helps :)

3 0
3 years ago
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